Doubtful. It would be political suicide, as Democrats would dominate in elections nationwide.
You presume that libertarians still have a stake in the electoral success of the Republican Party. It is exceedingly clear to me that we do not.
Libertarian ideology has in fact very few to do with current republican party's political position. In fact, it's the most anti-libertarian party I ever saw. However, I think many libertarians still vote for the GOP, just by tradition. Without them, the GOP would be dead. And that's a pity.